演講者：Prof. Michael Cowling (University of New South Wales)

講  題：Admissibility of irreducible representations of SL(2;R) on Banach spaces

時  間：2025年12月1日 (星期一) 2:00-3:00 p.m.

地  點：臺灣大學天數館202室

摘  要：

Harish-Chandra introduced admissible representations of semisimple Lie groups in the 1950s.These are essentially the representations that may be treated using algebraic methods. He showed that irreducible unitary representations (on Hilbert spaces) are admissible, but was unable to decide whether representations on Banach spaces are admissible or not.

It may now be shown that this problem is closely related to the functional analytic invariant

subspace problem, whether every bounded operator on a Banach space (of dimension at least 2) has a nontrivial invariant subspace. There may now be a solution to this problem.

Organizer：Chun-Yen Shen